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mylen [45]
3 years ago
8

Fill in the blank so that 81x2+_ x+81 is a perfect square trinomial. 81x²+_____ x+81

Mathematics
1 answer:
densk [106]3 years ago
6 0

the blank is 162

since 81 and 81 are both perfect squares the middle term (blank) will be the product of their roots times 2

√81=9

√81 =9

9 x 9 x 2

= 162

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I am less than 10 I am not a multiple of 2 I am a composite number
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Answer:

9

Step-by-step explanation:

Composite Numbers before 10: 4, 6, 8, and 9

The only one of those 4 that is NOT a multiple of 2: 9

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3 years ago
Which statement is true about the dependent and independent variables?
Hatshy [7]

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1. The independent variable goes on the x-axis and the dependent variable goes on the y-axis.

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matrenka [14]

Answer:

I believe it is a=64; b=2 divided by 10 (I'm sorry if it's wrong I hope you pass)

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3 years ago
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Find the equation of an exponential function in the form y = ab^x, given the points (0, 3) and (2, 108/25). Please simplify your
lilavasa [31]

We have the equation:

y=a\cdot b^x

We know two points and we will use them to calculate the parameters a and b.

The point (0,3) will let us know a, as b^0=1.

\begin{gathered} y=a\cdot b^x \\ 3=a\cdot b^0=a \\ a=3 \end{gathered}

Now, we use the point (2, 108/25) to calcualte b:

\begin{gathered} y=3\cdot b^x \\ \frac{108}{25}=3\cdot b^2 \\ 3\cdot b^2=\frac{108}{25} \\ b^2=\frac{108}{25\cdot3}=\frac{108}{3}\cdot\frac{1}{25}=\frac{36}{25} \\ b=\sqrt[]{\frac{36}{25}} \\ b=\frac{\sqrt[]{36}}{\sqrt[]{25}} \\ b=\frac{6}{5} \end{gathered}

Then, we can write the equation as:

y=3\cdot(\frac{6}{5})^x

5 0
1 year ago
Points A, B, and C are collinear. Point B is between A and C. Solve for x if AC = 3x + 3, BC = 3, and AB = 2x + 2.
Ksenya-84 [330]

Answer:

x=2.

Step-by-step explanation:

It is given that points A, B, and C are collinear. Point B is between A and C.

Using segment addition property, we get

AC=AB+BC

It is given that AC = 3x + 3, BC = 3, and AB = 2x + 2.

3x+3=(2x+2)+3

3x+3=2x+5

Isolate variable terms.

3x-2x=5-3

x=2

Therefore, the value of x is 2.

5 0
3 years ago
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